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Discrete-time, economic lot scheduling problem on multiple, non-identical production lines

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  • Bollapragada, Ramesh
  • Croce, Federico Della
  • Ghirardi, Marco

Abstract

This paper deals with a general discrete time dynamic demand model to solve real time resource allocation and lot-sizing problems in a multimachine environment. In particular, the problem of apportioning item production to distinct manufacturing lines with different costs (production, setup and inventory) and capabilities is considered. Three models with different cost definitions are introduced, and a set of algorithms able to handle all the problems are developed. The computational results show that the best of the developed approaches is able to handle problems with up to 10000 binary variables outperforming general-purpose solvers and other randomized approaches. The gap between lower and upper bound procedures is within 1.0% after about 500 seconds of CPU time on a 2.66Â Ghz Intel Core2 PC.

Suggested Citation

  • Bollapragada, Ramesh & Croce, Federico Della & Ghirardi, Marco, 2011. "Discrete-time, economic lot scheduling problem on multiple, non-identical production lines," European Journal of Operational Research, Elsevier, vol. 215(1), pages 89-96, November.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:1:p:89-96
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    References listed on IDEAS

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    1. Jose Juan Carreno, 1990. "Economic Lot Scheduling for Multiple Products on Parallel Identical Processors," Management Science, INFORMS, vol. 36(3), pages 348-358, March.
    2. Gregory Dobson, 1987. "The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes," Operations Research, INFORMS, vol. 35(5), pages 764-771, October.
    3. Paul H. Zipkin, 1991. "Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 39(1), pages 56-63, February.
    4. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    5. Ramesh Bollapragada & Uday Rao, 1999. "Single-Stage Resource Allocation and Economic Lot Scheduling on Multiple, Nonidentical Production Lines," Management Science, INFORMS, vol. 45(6), pages 889-904, June.
    6. HSU, Wen-Lian, 1983. "On the general feasibility test of scheduling lot sizes for several products on one machine," LIDAM Reprints CORE 515, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. W. L. Maxwell & H. Singh, 1986. "Scheduling Cyclic Production on Several Identical Machines," Operations Research, INFORMS, vol. 34(3), pages 460-463, June.
    8. Guillermo Gallego & Ilkyeong Moon, 1992. "The Effect of Externalizing Setups in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 40(3), pages 614-619, June.
    9. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    10. Pesenti, Raffaele & Ukovich, Walter, 2003. "Economic lot scheduling on multiple production lines with resource constraints," International Journal of Production Economics, Elsevier, vol. 81(1), pages 469-481, January.
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